A population grows at a rate of 18% each week. After how many weeks will this population double? weeks Type your answer as a number, rounded to 3 decimal places. Do not include units

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Text for Educational Website:**

**Problem Statement:**

A population grows at a rate of 18% each week. After how many weeks will this population double?

__________ weeks

**Instructions:**

Type your answer as a number, rounded to 3 decimal places. Do not include units.

**Explanation:**

You are required to calculate the number of weeks it will take for the population to double, given that it grows at an exponential rate of 18% per week. The solution involves using logarithmic calculations to solve the exponential growth equation.
Transcribed Image Text:**Text for Educational Website:** **Problem Statement:** A population grows at a rate of 18% each week. After how many weeks will this population double? __________ weeks **Instructions:** Type your answer as a number, rounded to 3 decimal places. Do not include units. **Explanation:** You are required to calculate the number of weeks it will take for the population to double, given that it grows at an exponential rate of 18% per week. The solution involves using logarithmic calculations to solve the exponential growth equation.
A radioactive isotope has a half-life of 3.7 years. Consider a sample of 23 mg of this isotope. After how long will 5 mg of this radioactive isotope remain?

____________ weeks

Type your answer as a number, rounded to 3 decimal places. Do not include units.
Transcribed Image Text:A radioactive isotope has a half-life of 3.7 years. Consider a sample of 23 mg of this isotope. After how long will 5 mg of this radioactive isotope remain? ____________ weeks Type your answer as a number, rounded to 3 decimal places. Do not include units.
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